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Dynamical reciprocity in interacting games: Numerical results and mechanism analysis
Rizhou Liang1, Qinqin Wang1, Jiqiang Zhang2,3
1School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, People's Republic of China.
Physical Review. E
|June 16, 2022
Summary
Interacting games on structured populations boost cooperation. Game-game interactions promote cooperation, especially with strong links, revealing a key mechanism for social cooperation.
Area of Science:
- Evolutionary Game Theory
- Complex Systems
- Social Dynamics
Background:
- Cooperation is crucial for social structures.
- Understanding cooperation mechanisms in populations is a key challenge.
Purpose of the Study:
- To investigate how mutual game interactions influence cooperation levels.
- To explore the role of population structure in promoting cooperation.
Main Methods:
- Studied evolution of interacting pairwise games on various topologies.
- Developed a mean-field theory to analyze dynamical routes.
- Examined model variants and different network structures (e.g., lattices, small-world, random, scale-free networks).
Main Results:
- Game-game interaction significantly promotes cooperation prevalence.
- Strong interactions can eliminate cooperation-defection phase transitions, leading to high cooperation.
- Cooperation is enhanced by invasion, neutral, and catalyzed interaction types.
- Dynamical reciprocity driving cooperation is effective only in structured populations.
Conclusions:
- Mutual game interactions offer a robust mechanism for fostering cooperation in structured populations.
- This finding highlights the potential for widespread cooperation in real-world scenarios with complex social structures.
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